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Finding the Fourth Proportional to 1,031.69, 1,547.70 and 338.15

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Solution

The fourth proportional to 1,031.69, 1,547.70 and 338.15 is: 507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.69 : 1,547.70 = 338.15 : x
  2. Step 2: Convert to fraction form
    1,031.69/1,547.70 = 338.15/x
  3. Step 3: Cross multiply
    1,031.69x = 1,547.70 × 338.15
  4. Step 4: Simplify right side
    1,031.69x = 523,354.76
  5. Step 5: Solve for x
    x = 523,354.76/1,031.69
  6. Step 6: Final answer
    x = 507.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.